Dugdale模型的动态裂纹扩展问题

A dynamic crack propagation problem of dugdale model

为研究材料非线性特性下的裂纹动态扩展问题,并进一步揭示固体的动态断裂规律,通过复变函数论的方法,对材料的非线性特性下的Dugdale模型的动态扩展问题进行研究.采用自相似函数的方法可以获得解析解.应用该法可以迅速地将所论问题转化为Riemann-Hilbert问题,并可以相当简单地得到问题的闭合解.利用这些解并采用叠加原理,就可以求得任意复杂问题的解.

In order to investigate crack dynamic propagation problems on nonlinear characters of matrials, solidly dynamic fracture laws were described further. By the theory of complex functions, a dynamic crack propagation problem of Dugdale model on nonlinear characters of materials was studied. The analytical solutions are obtained by the methods of self-similar functions. The problems dealt with can be transformed into Riemann-Hilbert problems and their closed solutions are obtained rather simply by this method. After those solutions were utilized by the superposition theorem, the solutions of arbitrary completed problems could be attained.